Find the points at which the following polar curves have horizontal or vertical tangent lines r= 3 + 6sin(theta)

Q: x²-x+6 lim x⇒-2 (x + 2)²

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Q: Find the consumers' surplus at a price level of p = $150 for the price-demand equation below.…

A: Given price demand function D( x ) = 300 - 0.04x as we know that consumer surplus = 12Qmarket(…

Q: Consider the indefinite integral: A The integrand has the following partial fraction decomposition:…

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Q: The shape below contains a rectangle and four semi-circles. Round your responses to two decimal…

A: Let's find area and perimeter of given shape.

Q: Graph the set {xx<-1} on the number line. Then, write the set using interval notation. {x|x<-1}=

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Q: Find the c value that satisfies the Mean Value Theorem. f(x) = 3 + √√x on the interval [0,4]

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Q: 2. Solve for the following rates, treating all variables as functions of t dr (a) Solve for dl (b)…

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Q: Match the general solutions to the differential equations. ✓ (D²+2D+5)y=0 ✓ (D²-6D+10)y=0 ✓…

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Q: length

A: Please refer to the image below

Q: A ball of radius 15 has a round hole of radius 3 drilled through its center. Find the volume of the…

A: Given query is to find the volume of the resulting solid.

Q: Let f(x,y)=3x³y-2y²-3x²-8y+2 i. Find the stationary points of f ii. For each stationary point P…

A: As per guidelines,  I can answer maximum one question.  Since you have asked for two questions, so I…

Q: In Exercises 19-22, the magnitudes of vectors u and Vin R³ are given, along with the angle between…

A: Given:- u→=2,v→=5,θ=30°

Q: Find You do not need to simplify. dx a) y = 2x(3x + 9) (4x³ + 2x² − 8x) b) y = 3x-6 7x

A: To find dydx

Q: You deposit $300 each month into an account earning 6.5% interest compounded monthl a) How much will…

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Q: Find an equation of the plane. The plane through the point (8, 0, 1) and perpendicular to the line x…

A: Please see the below picture for detailed solution.

Q: sides of lengths 6,10 and 7. Find 2) A triangle has the mesure of it's largest angle to the nearest…

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Q: If f(x) f'(x) = 20 1.⁰ t7 dt then

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Q: The graph above shows the base of an object. Compute the exact value of the volume of the object,…

A: volume of an isosceles triangle volume=0.5(b)(h)(w), where b is the length of the base of the…

Q: Fundamental Theorem of Calculus to find the "area under curve" of y=−x2+9x betweenx=3 and x=7. In…

A: Given query is to find the area under the curve.

Q: her first day in a hospital, Kiri receives u₁ milligrams (mg) of a therapeutic drug. The amount of…

A: Introduction to the problem: This questions is the application of Arithmetic Progression(AP). We…

Q: ") Triangle ABC is Drawn with a 125cm C= 9.8cm and LA=59' The messure of Lc is? Ⓒ is an angle in…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the volume of the solid that is obtained when the region in the first quadrant under the curve…

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Q: a) Draw the vector 2 - 3 + W. b) Show how to use the parallelogram rule to add u and w

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Q: Use the ratio test to determine if the series converges or diverges 2n n! Σ=1

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Q: In Exercises 61-66, find an equation for each graph. 61. AA -2" 2 4m 67

A: Q 61

Q: f(x)=xe^-x How can you use limits to decide which of the two factor functions in f(x) dominates as…

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Q: The traffic flow rate (cars per hour) across an intersection is r(t)=300+1000t−150t^2, where t is in…

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Q: a ladder 12.0 ft long rests against a wall. if the bottom of the ladder slides away from the wall at…

A: let wall length is  x ftlet bottom length is y ft by using paythogoras theoram  x2+y2=(12)2…

Q: Set up the definite integral required to find the area of the region between the graph of y = 11 -…

A: Given query is to find the area of the region.

Q: Given u = (-2,-3,0) and v= (1, 2, 1), (a) Find 3u + 2v (b) Find 13u + 2v| (c) Find the unit vector…

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Q: 2. Let f be the function given by f(x) = 300x-x³. On which of the following intervals is the…

A: Given function:- fx=300x-x3

Q: Find the center, foci, vertices, and eccentricity of the ellipse and sketch the graph. 16x² + y² =…

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Q: b. The equation of a circle of radius r, centered at the origin (0,0), is given by r² = x² + y² •…

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Q: Find the roots of (D4 + D² + 1) O a. 1± √3 0*1+√³. 2 1± √√3 2 b. Ob-1± √³, -1 ± √3 -1± √√3 2 2 OC.…

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Q: Find the following indefinite integral using integration by parts. [(3x + =0+c (3x + 9)e* dx =

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Q: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

A: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

Q: 4. lim cos(x )x

A: We can find the limit of the given function by sequential method. Let xn  and  yn be two sequence…

Q: Use a Venn diagram to answer. If n(A) = 7, n(B) = 12 and n(An B) = 4, what is n(AUB)? n(AUB) =

A: Given query is to find the value of the expression.

Q: (D² - 3D + 2)y = ex, Find Yp O a.-ex O b.ex O c. -xex O d.xex O e. none

A:

Q: Consider the series n=1 (3x)" n Find the interval of convergence of this power series by first using…

A: Radius of convergence of the series, ∑n=1∞anxn  is given by, R=limn-&gt;∞anan+1

Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

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Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 2 3 4 5 6 7 8 9 με Graph of f 2 O -2- - 15. The graph of a…

A: Solution:f is continuous and h(x) = ∫0xf(t) dt and graph of f is given aboveFrom the graph,h(6) =…

Q: Determine which of the following is the particular solution for the differential equation (D²- 2D+4)…

A:

Q: Average Cost Jesaki Water Sports incurs the following costs in producing a water ski vests in one…

A: Let's find minimum average cost of a water ski vest.

Q: Use the Alternating series Test, if applicable to determine the convergence or divergence of the…

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Q: (D³-2D²-5D+6)y=e³x, Find Yp O a. 1 10 O b. OC. xe O d. xe 1 10 3.x 3x 10 10 e. none 3x 3x

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Q: t OHaganBooks.com, the rate of net sales (sales minus returns) of The Secret Loves of John O, a…

A: Given rate of net sales = n( t ) n( t ) = 198 + t2 − 0.14t5

Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x³. -7√x 1. X dx

A:

Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: According to question,Given Series,∑n=1∞ 4n23

Q: Question 33 The demand curve for a certain product is given by p(q) = 551-q^2. The supply curve…

A: The demand curve for a certain product is given by pq=551-q2. The supply curve is given by pq=1.3q2.…